11th Business Maths weekly Test - 2 ( Descriptive Statistics and Probability )

MABS Institution

11th Business Maths weekly Test - 2 ( Descriptive Statistics and Probability )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

A person purchases tomatoes from each of the 4 places at the rate of 1kg., 2kg., 3kg., and 4kg. per rupee respectively .On the average, how many kilograms has he purchased per rupee?

A die is thrown twice and the sum of the number appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?

Let P(A)=\(\frac{3}{5}\) and P(B)=\(\frac{1}{5}\) . Find P(A∩B) if A and B are independent events.

Find D₂ and D₆ for the following series 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8

A family has two children. What is the probability that both the children are girls given that at least one of them is a girl?

A committee of two persons is formed from 3 men and 2 women. What is the probability that the committee will have
(i) No woman (ii) One man (iii) No man

A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both balls drawn are black.

An investor buys Rs. 1,500 worth of shares in a company each month. During the first four months he bought the shares at a price of Rs. 10, 15, 20 and 30 per share. What is the average price paid for the shares bought during these four months? Verify your result.

From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen.

Find the first quartile and third quartile for the given observations
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Part - B

Generic 5 - Answer All Question

There are 3 boxes containing respectively 1 white, 2 red, 3 black balls; 2 white, 3 red and 1 black ball; 2 white, 1 red, 3 black balls. A box is chosen t random and from it 2 balls are drawn at random. The 2 balls are 1 red and 1 white. What is the probability that they come from the second box?

Verify the relationship among AM, GM and HM for the following data

X 7 10 13 16 19 22 25 28

f 10 22 24 28 19 9 12 16

Calculate AM, GM and HM and also verify their relations among them for the following data

x 5 15 10 30 25 20 35 40

f 18 16 20 21 22 13 12 16
Calculate the quartile deviation and its coefficient from the following data:

Age in Years: 20 30 40 50 60 70 80

No. of members: 13 61 47 15 10 18 36

x	5	15	10	30	25	20	35	40
f	18	16	20	21	22	13	12	16

Age in Years:	20	30	40	50	60	70	80
No. of members:	13	61	47	15	10	18	36

A factory has 3 machines A₁, A₂, A₃ producing 1000, 2000, 3000 screws per day respectively. A1 produces 1% defectives, A₂ produces 1.5% and A₃ produces 2% defectives. A screw is chosen at random at the end of a day and found defective. What is the probability that it comes from machines A₁?

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11th Business Maths weekly Test - 2 ( Descriptive Statistics and Probability )

MABS Institution

11th Business Maths weekly Test - 2 ( Descriptive Statistics and Probability )-Aug 2020

Part - A

Generic 2 - Answer All Question

A person purchases tomatoes from each of the 4 places at the rate of 1kg., 2kg., 3kg., and 4kg. per rupee respectively .On the average, how many kilograms has he purchased per rupee?

A die is thrown twice and the sum of the number appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?

Let P(A)=\(\frac{3}{5}\) and P(B)=\(\frac{1}{5}\) . Find P(A∩B) if A and B are independent events.

Find D2 and D6 for the following series 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8

A family has two children. What is the probability that both the children are girls given that at least one of them is a girl?

A committee of two persons is formed from 3 men and 2 women. What is the probability that the committee will have (i) No woman (ii) One man (iii) No man

A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both balls drawn are black.

An investor buys Rs. 1,500 worth of shares in a company each month. During the first four months he bought the shares at a price of Rs. 10, 15, 20 and 30 per share. What is the average price paid for the shares bought during these four months? Verify your result.

From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen.

Find the first quartile and third quartile for the given observations 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Part - B

Generic 5 - Answer All Question

There are 3 boxes containing respectively 1 white, 2 red, 3 black balls; 2 white, 3 red and 1 black ball; 2 white, 1 red, 3 black balls. A box is chosen t random and from it 2 balls are drawn at random. The 2 balls are 1 red and 1 white. What is the probability that they come from the second box?

Verify the relationship among AM, GM and HM for the following data X 7 10 13 16 19 22 25 28 f 10 22 24 28 19 9 12 16

Calculate AM, GM and HM and also verify their relations among them for the following data x 5 15 10 30 25 20 35 40 f 18 16 20 21 22 13 12 16

Calculate the quartile deviation and its coefficient from the following data: Age in Years: 20 30 40 50 60 70 80 No. of members: 13 61 47 15 10 18 36

A factory has 3 machines A1, A2, A3 producing 1000, 2000, 3000 screws per day respectively. A1 produces 1% defectives, A2 produces 1.5% and A3 produces 2% defectives. A screw is chosen at random at the end of a day and found defective. What is the probability that it comes from machines A1?

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Find D₂ and D₆ for the following series 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8

A committee of two persons is formed from 3 men and 2 women. What is the probability that the committee will have
(i) No woman (ii) One man (iii) No man

Find the first quartile and third quartile for the given observations
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Verify the relationship among AM, GM and HM for the following data

X 7 10 13 16 19 22 25 28

f 10 22 24 28 19 9 12 16

Calculate AM, GM and HM and also verify their relations among them for the following data

x 5 15 10 30 25 20 35 40

f 18 16 20 21 22 13 12 16

Calculate the quartile deviation and its coefficient from the following data:

Age in Years: 20 30 40 50 60 70 80

No. of members: 13 61 47 15 10 18 36